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Applied Mathematics and Fractional Calculus

In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and at the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to the study of integrals and derivatives of arbit...

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Bibliographic Details
Main Author:	González, Francisco Martínez
Other Authors:	Kaabar, Mohammed K. A.
Format:	eBook
Language:	English
Published:	Basel 2022
Subjects:	Eigenfunctions And Eigenvalues Power Series Solutions Initial Value Problem One-sided Tempered Fractional Derivative Caputo Operator Babenko's Approach Fixed Point Degenerate Evolution Equation Collocation Method Weighted Fractional Operators Conservation Laws Semigroup Theory Natural Transform Fractional Sturm-liouville Problems Gelfand Problem Nonlocal Conditions Fractional Differential Equations Symmetry Bilateral Tempered Fractional Derivative Quantum Integro-difference Bvp Mittag-leffler Function Atangana-baleanu Fractional Derivative Partial Differential Equation Concave Operator Condensing Function Shehu Transform Green's Function Integral Transform Separated Boundary Conditions Singular Sum Fractional Q-differential Approximate Solutions Fractional Derivatives Bessel Polynomials Caputo Q-derivative Fractional Kdv Equation Fractional Dzhrbashyan-nersesyan Derivative Initial Boundary Value Problem Natural Boundary Conditions Mhd Equations Existence Of Solutions Riemann-liouville Derivative Euler-lagrange Equation Fractional Calculus Hhf Type Inequality Weak Solution Research And Information: General / Bicssc Ulam Stability Existence Aboodh Transform Iterative Method ρ-laplace Decomposition Method Caputo Fractional Derivative Shehu Decomposition Method Time-fractional Kaup-kupershmidt Equation Lie Group Analysis Fractional Differential Equation Adomian Decomposition Method Collocation Points Optimal Controls Banach Fixed Point Theorem Fractional Prabhakar Derivatives Boundary Value Problem Tempered Fractional Derivative New Iterative Transform Method Caputo Derivative Fractional Fornberg-whitham Equation (fwe) Regularity Criteria General Fractional Integral Of Arbitrary Order First Fundamental Theorem Of Fractional Calculus Gamma Function Tempered Riesz Potential Convergence Analysis Second Fundamental Theorem Of Fractional Calculus Nabla Fractional Difference General Fractional Derivative Of Arbitrary Order Equations Discrete Fractional Calculus Time Delay Mathematics And Science / Bicssc Partial Riemann-liouville Fractional Integral Anisotropic Lorentz Space Riemann-liouville Q-integral Order Cone Fractional Burgers Equation Convex Functions φ-hilfer Fractional System With Impulses Fractional Derivative ρ-laplace Variational Iteration Method Existence And Uniqueness Riemann-liouville Fractional Difference Operator Elastic Beam Problem Sonine Kernel Caputo-fabrizio And Atangana-baleanu Operators Fractional Kadomtsev-petviashvili System Hermite Cubic Spline Fredholm-volterra Integral Equations Approximate Endpoint Criterion Fixed Point Theorem
Online Access:	https://directory.doabooks.org/handle/20.500.12854... https://www.mdpi.com/books/pdfview/book/5997
Collection:	Directory of Open Access Books - Collection details see MPG.ReNa

Description
Summary:	In the last three decades, fractional calculus has broken into the field of mathematical analysis, both at the theoretical level and at the level of its applications. In essence, the fractional calculus theory is a mathematical analysis tool applied to the study of integrals and derivatives of arbitrary order, which unifies and generalizes the classical notions of differentiation and integration. These fractional and derivative integrals, which until not many years ago had been used in purely mathematical contexts, have been revealed as instruments with great potential to model problems in various scientific fields, such as: fluid mechanics, viscoelasticity, physics, biology, chemistry, dynamical systems, signal processing or entropy theory. Since the differential and integral operators of fractional order are nonlinear operators, fractional calculus theory provides a tool for modeling physical processes, which in many cases is more useful than classical formulations. This is why the application of fractional calculus theory has become a focus of international academic research. This Special Issue "Applied Mathematics and Fractional Calculus" has published excellent research studies in the field of applied mathematics and fractional calculus, authored by many well-known mathematicians and scientists from diverse countries worldwide such as China, USA, Canada, Germany, Mexico, Spain, Poland, Portugal, Iran, Tunisia, South Africa, Albania, Thailand, Iraq, Egypt, Italy, India, Russia, Pakistan, Taiwan, Korea, Turkey, and Saudi Arabia.
Item Description:	Creative Commons (cc), https://creativecommons.org/licenses/by/4.0/
Physical Description:	1 electronic resource (438 p.)
ISBN:	books978-3-0365-5147-0 9783036551470 9783036551487

Applied Mathematics and Fractional Calculus

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